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Superconducting circuit quantisation conventionally starts from classical Euler-Lagrange circuit equations-of-motion. Invoking the correspondence principle yields a canonically quantised circuit description of circuit dynamics over a…

Quantum Physics · Physics 2025-08-13 Yun-Chih Liao , Ben J. Powell , Thomas M. Stace

We show that the amplitude, or Higgs mode of a superconductor with strong spin-orbit coupling and an exchange field, couples linearly to the electromagnetic field. Furthermore, by coupling such a superconductor to an LC resonator, we…

Superconductivity · Physics 2025-02-10 Yao Lu , Stefan Ilić , Risto Ojajärvi , Tero T. Heikkilä , F. Sebastian Bergeret

In this paper, the Higgs-like approach is used to analyze the quantum dynamics of a harmonic oscillator constrained on a circle. We obtain the Hamiltonian of this system as a function of the Cartesian coordinate of the tangent line through…

Quantum Physics · Physics 2022-07-27 Ali Mahdifar , Ehsan Amooghorban

Higgs spectroscopy is a new field in which Higgs modes in nonequilibrium superconductors are analyzed to gain information about the ground state. One experimental setup in which the Higgs mode in s-wave superconductors was observed is…

Superconductivity · Physics 2020-05-26 Lukas Schwarz , Dirk Manske

We extend the well-established action of the Higgs mode in $s$-wave superconductors to include quantum fluctuations (QFs). We find that already one-loop quantum corrections to the Higgs propagator shift its eigenfrequency below the…

Superconductivity · Physics 2026-04-17 Sida Tian , Naoto Tsuji , Dirk Manske

The amplitude (Higgs) mode near the two-dimensional superfluid-Mott glass quantum phase transition is studied. We map the Bose-Hubbard Hamiltonian of disordered interacting bosons onto an equivalent classical XY model in (2+1) dimensions…

Disordered Systems and Neural Networks · Physics 2021-07-19 Jack Crewse , Thomas Vojta

Experimental evidence of the Higgs mode in strongly interacting superfluid Fermi gases had not been observed until recently [Behrle et al., Nat. Phys. 14, 781 (2018)]. Due to the coupling with other collective modes and quasiparticle…

Quantum Gases · Physics 2023-03-02 Guitao Lyu , Kui-Tian Xi , Sukjin Yoon , Qijin Chen , Gentaro Watanabe

We investigate the response of superfluid Fermi gases to rapid changes of the three-dimensional s-wave scattering length a by solving the time-dependent Bogoliubov-de Gennes equations. In general the magnitude of the order parameter…

Quantum Gases · Physics 2015-06-11 R. G. Scott , F. Dalfovo , L. P. Pitaevskii , S. Stringari

In quantum many-body systems with spontaneous breaking of continuous symmetries, Higgs modes emerge as collective amplitude oscillations of order parameters. Recently, Higgs mode has been observed in the ultracold Fermi gas. In the present…

Quantum Gases · Physics 2019-01-30 Jun Tokimoto , Shunji Tsuchiya , Tetsuro Nikuni

Two-dimensional coherent spectroscopy (2DCS) provides insights into the nonlinear response of correlated lattice systems. We simulate multipulse excitations in the Hubbard model using nonequilibrium dynamical mean-field theory to extract…

Strongly Correlated Electrons · Physics 2025-05-01 Jiyu Chen , Naoto Tsuji , Philipp Werner

The Higgs amplitude mode of the order parameter of an ultracold confined Fermi gas in the BCS regime after a quench of the coupling constant is analyzed theoretically. Characteristic features are a damped oscillation which at a certain…

Quantum Gases · Physics 2014-12-09 S. Hannibal , P. Kettmann , M. D. Croitoru , A. V. Vagov , V. M. Axt , T. Kuhn

The proximity effect in hybrid superconducting - normal metal structures is shown to affect strongly the coherent oscillations of the superconducting order parameter $\Delta$ known as the Higgs modes. The standard Higgs mode at the…

Superconductivity · Physics 2019-09-18 V. L. Vadimov , I. M. Khaymovich , A. S. Mel'nikov

We study the Higgs mode of a strongly-interacting Fermi gas in the crossover regime between a fermionic and bosonic superfluid. By periodically modulating the interaction strength of the gas, we parametrically excite the Higgs mode and…

Quantum Gases · Physics 2024-10-15 Andreas Kell , Moritz Breyer , Daniel Eberz , Michael Köhl

Collective modes in superconductors provided the first realization of the Higgs mechanism. The transverse Goldstone mode acquires a gap (i.e. a mass) when it hybridizes with the electromagnetic gauge field. The longitudinal Schmid-Higgs…

Superconductivity · Physics 2025-10-28 Maxim Dzero , Alex Kamenev

The amplitude mode of a fermionic superfluid, analogous to the Higgs Boson, becomes undamped in the strong coupling regime when its frequency is pushed inside the BCS energy gap. We argue that this is the case in cold gases due to the…

Superconductivity · Physics 2007-05-23 R. A. Barankov , L. S. Levitov

We study collective amplitude modes of the superconducting order parameter in strongly-coupled electron-phonon systems described by the Holstein model using the nonequilibrium dynamical mean-field theory with the self-consistent Migdal…

Superconductivity · Physics 2017-06-19 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We investigate theoretically the excitation of Higgs oscillations of the order parameter in superconductors by incoherent short pulses of light with frequency much larger than the superconducting gap. The excitation amplitude of the Higgs…

Superconductivity · Physics 2022-05-17 Matteo Bellitti , Chris R. Laumann , Boris Z. Spivak

The Higgs mode, originally proposed in the context of superconductivity, corresponds to oscillations of the amplitude of the superconducting order parameter. Recent THz-domain optical studies have found signatures consistent with the Higgs…

Superconductivity · Physics 2026-04-22 Aritra Lahiri , Juan Carlos Cuevas , Björn Trauzettel

Using the non-equilibrium Keldysh formalism, we solve the equations of motion for electron-phonon superconductivity, including an ultrafast pump field. We present results for time-dependent photoemission spectra out of equilibrium which…

Superconductivity · Physics 2016-01-15 A. F. Kemper , M. A. Sentef , B. Moritz , J. K. Freericks , T. P. Devereaux

The Higgs amplitude mode in superconductors is the condensed matter analogy of Higgs bosons in particle physics. We investigate the time evolution of Higgs amplitude mode in massless Dirac systems, induced by a weak quench of an attractive…

Superconductivity · Physics 2020-07-31 Ming Lu , Haiwen Liu , Pei Wang , X. C. Xie
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